Green’s Dictionary of Slang

screws me phr.

[joc. mispron.]

(US campus) excuse me.

[US]Eble Campus Sl. Fall 5: screws me – a humorous form of ‘excuse me’.
[US]Eble Sl. and Sociability 39: Manipulating sounds for fun is consistent with the flippant, venturesome spirit of much slang use. Hence the polite apology Excuse me is playfully pronounced Screws me, Squeeze me, or Exsqueeze me.